Abstract
A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher contributions to the spectral determinant. We apply the theory to billiard systems, and compare the periodic orbit quantization including the first contribution to the exact quantum mechanical results.
- Received 3 April 1995
DOI:https://doi.org/10.1103/PhysRevLett.76.335
©1996 American Physical Society